The antonyms for "gives heed to" are quite diverse and offer an endless range of possibilities. Some of the most common antonyms include ignoring, disregarding, neglecting, overlooking, dismissing, and rejecting. Ignoring means to deliberately choose not to pay attention to something, while neglecting is a failure to pay adequate attention or care to something. Overlooking and dismissing refer to a lack of consideration or regard for something, and rejecting connotes a deliberate refusal to accept something. Overall, these antonyms underscore the importance of paying attention and being mindful, as their opposite actions can lead to negative consequences.